Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for a linear oscillator (B=1, α=0.6, Cα=0.05) for various values of N: (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for a linear oscillator (α=0.6, Cα=0.05) for various levels of the barrier B: (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for a linear oscillator (B=1, α=0.6) for various levels of Cα: (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for a linear oscillator (B=1, Cα=0.05) for various levels of α: (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for the nonlinear Van der Pol oscillator (Cα=−0.05, α=0.6, ε=0.2): (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for the nonlinear Van der Pol oscillator (Cα=−0.05, α=0.6, ε=1): (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for the Duffing oscillator (Cα=0.05, α=0.6, ε=0.2): (a) survival probability and (b) first-passage probability density function

Date of download: 10/27/2017 Copyright © ASME. All rights reserved. From: Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements J. Appl. Mech. 2016;83(12):121003-121003-9. doi:10.1115/1.4034460 Figure Legend: Galerkin scheme vis-à-vis MCS results (20,000 samples) for the Duffing oscillator (Cα=0.05, α=0.6, ε=1): (a) survival probability and (b) first-passage probability density function